F-Alternate Interpolative Ciric-Reich-Rus Contraction Mapping Theorem

  • Clement Boateng Ampadu 31 Carrolton Road, Boston, MA 02132-6303, USA
Keywords: F-contraction, alternate interpolative Ciric-Reich-Rus contraction, fixed point theorems

Abstract

In [1], the authors introduced the interpolative Ciric-Reich-Rus operator in Branciari metric space and obtained some fixed point theorems. In [2], an alternate characterization of the interpolative Ciric-Reich-Rus operator was given, and some fixed point theorems were obtained. In the present paper, we consider the alternate interpolative Ciric-Reich-Rus operator is an F-contraction [3], and obtain a fixed point theorem.

References

Aydi, H., Chen, C.-M., & Karapinar, E. (2019). Interpolative Ciric-Reich-Rus type contractions via the Branciari distance. Mathematics, 7(1), 84. https://doi.org/10.3390/math7010084

Ampadu, C. B. (2021). Fixed point theorems for the alternate interpolative Ciric-Reich-Rus operator. Earthline Journal of Mathematical Sciences, 7(1), 161–179. https://doi.org/10.34198/ejms.7121.161179

Wardowski, D. (2012). Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory and Applications, 2012, 94. https://doi.org/10.1186/1687-1812-2012-94

Ampadu, C. B. (2020). Some fixed point theory results for the interpolative Berinde weak operator. Earthline Journal of Mathematical Sciences, 4(2), 253–271. https://doi.org/10.34198/ejms.4220.253271

Ampadu, C. B. (2021). Wardowski type characterization of the interpolative Berinde weak fixed point theorem. Earthline Journal of Mathematical Sciences, 5(2), 411–414. https://doi.org/10.34198/ejms.5221.411414

Published
2025-06-16
How to Cite
Ampadu, C. B. (2025). F-Alternate Interpolative Ciric-Reich-Rus Contraction Mapping Theorem. Earthline Journal of Mathematical Sciences, 15(5), 749-753. https://doi.org/10.34198/ejms.15525.749753
Section
Articles

Most read articles by the same author(s)

<< < 1 2 3